Are these features available?

[oneplace]

1. Be able to set Minimum order by price per catagory
2. Be able to set price, size and color options per product.
3. Set shipping charges per category

[Design75]

1. Be able to set Minimum order by price per catagory
2. Be able to set price, size and color options per product.
3. Set shipping charges per category

1. No not default ZC, may be there is an mod for it
2. Yes, default ZC
3. No not default, but I think you can use advanced shipper for that (which by the way is an commercial mod)